Lectures related to Representation Theory: Algebras and Homomorphisms

Covers the role of symmetries and groups in quantum mechanics, focusing on SU2 and SU3, their properties, and implications for physical theories.

Covers tensor products, symmetric power, and exterior power of vector spaces, including properties and applications.

Introduces algebras over a field, k-linear endomorphisms, and commutative algebras.

Introduces the regular representation, a key tool for studying group actions on varieties.

Covers the properties of finite dimensional algebras and non-semisimple representations.

Covers linear applications, matrices, transformations, and the principle of superposition.